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Xelga [282]
3 years ago
8

When Sebastian left his house in the morning, his cell phone battery was partially charged. The charge remaining in Sebastian's

battery, as a percentage, can be modeled by the equation B=-9t+81, where t is the number of hours since Sebastian left his house. What is the slope of the equation and what is its interpretation in the context of the problem?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

The slope is -9

and the interpretation is that the percentage that drops on the battery per hour is 9%

Step-by-step explanation:

Generally, the equation of a straight line can be represented by the formula;

y = mx + b

where m is the slope and b is the y-intercept

With respect to the given equation, the slope is -9

What it means is that the percentage that drops per hour on the battery is 9%

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Answer:

Which ever choice is 283% works.

Step-by-step explanation:

2 5/6= 2.83= 283%

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Answer:

Step-by-step explanation:

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4 years ago
From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89°18'. How far is the headquarters from a p
Gnom [1K]

Answer:

9 ft

Step-by-step explanation:

let x be the required  distance.

\frac{760}{x} =tan~ 89^\circ18 '\\x=\frac{760}{tan~89^\circ 18' } =\frac{760}{tan~89 \frac{18}{60}} =\frac{760}{tan~89.3^\circ} \\or~x \approx 9~ft

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Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59
andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

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Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree

So, we will use "Sine formula ":

\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet

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\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

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Answer:

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2100 +1477 = 3577

2100+3577= 5677

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